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The Height of Two-Dimensional Cohomology Classes of Complex Flag Manifolds

Published online by Cambridge University Press:  20 November 2018

S. Allen Broughton ,
Michael Hoffman  and
William Homer
S. Allen Broughton
Affiliation:
Memorial University of NfldSt. Johns, Newfoundland, Canada, A1B3X7
Michael Hoffman
Affiliation:
Memorial University of NfldSt. Johns, Newfoundland, Canada, A1B3X7
William Homer
Affiliation:
Memorial University of NfldSt. Johns, Newfoundland, Canada, A1B3X7
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Abstract

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For a parabolic subgroup H of the general linear group G = Gl(n, C), we characterize the Kähler classes of G/H and give a formula for the height of any two-dimensional cohomology class. As an application, we classify the automorphisms of the cohomology ring of G/H when this ring is generated by two-dimensional classes.

Keywords

57T15Secondary 53C55Flag manifoldheightKähler manifold
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 26 , Issue 4 , 01 December 1983 , pp. 498 - 502
Copyright
Copyright © Canadian Mathematical Society 1983

References

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